1023540513453 has 12 divisors (see below), whose sum is σ = 1478619253020. Its totient is φ = 682281029376.

The previous prime is 1023540513421. The next prime is 1023540513461. The reversal of 1023540513453 is 3543150453201.

1023540513453 is a `hidden beast` number, since 1 + 0 + 23 + 540 + 51 + 3 + 45 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 421484011524 + 602056501929 = 649218^2 + 775923^2 .

It is not a de Polignac number, because 1023540513453 - 2⁵ = 1023540513421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023540513353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6527626 + ... + 6682587.

It is an arithmetic number, because the mean of its divisors is an integer number (123218271085).

Almost surely, 2^{1023540513453} is an apocalyptic number.

It is an amenable number.

1023540513453 is a deficient number, since it is larger than the sum of its proper divisors (455078739567).

1023540513453 is a wasteful number, since it uses less digits than its factorization.

1023540513453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218828 (or 13218825 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1023540513453 its reverse (3543150453201), we get a palindrome (4566690966654).

The spelling of 1023540513453 in words is "one trillion, twenty-three billion, five hundred forty million, five hundred thirteen thousand, four hundred fifty-three".